115753 has 8 divisors (see below), whose sum is σ = 133920. Its totient is φ = 98880.

The previous prime is 115751. The next prime is 115757. The reversal of 115753 is 357511.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 115753 - 2¹ = 115751 is a prime.

It is a Duffinian number.

115753 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (115751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 496.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2¹¹⁵⁷⁵³ is an apocalyptic number.

It is an amenable number.

115753 is a deficient number, since it is larger than the sum of its proper divisors (18167).

115753 is a wasteful number, since it uses less digits than its factorization.

115753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647.

The product of its digits is 525, while the sum is 22.

The square root of 115753 is about 340.2249256007. The cubic root of 115753 is about 48.7353495315.

It can be divided in two parts, 115 and 753, that added together give a palindrome (868).

The spelling of 115753 in words is "one hundred fifteen thousand, seven hundred fifty-three".